How to cite this paper
Yusriski, R., Sukoyo, S., Samadhi, T & Halim, A. (2015). Integer batch scheduling problems for a single-machine with simultaneous effect of learning and forgetting to minimize total actual flow time.International Journal of Industrial Engineering Computations , 6(3), 365-378.
Refrences
Anzanello, M.J. & Foglianto, F. S. (2010). Scheduling learning dependent jobs in customized assembly lines. International Journal of Production Research, 48, 6683-6699.
Arzi, Y. & Shtub, A. (1997). Learning and forgetting in mental and mechanical tasks: A comparative study. IIE Transactions, 29 759-768.
Baker, K.R. & Trietsch, D. (2009). Principles of sequencing and scheduling. John and Wiley & Sons.
Biskup, D. (1999). Single machine scheduling with learning considerations. European Journal of Operational Research, 115, 173-178.
Carlson, J. G. & Rowe, A. J. (1976). How much does forgetting cost?, Industrial Engineering, 8 40-47
.
Chen, C.K., Lo, C.C. & Liao, Y.X. (2008). Optimal lot size with learning consideration on an imperfect production system with allowable shortages. International Journal of Production Economics, 113, 459-469.
Cheng, T.C.E, Lee, W.C. & Wu, C. C. (2010). Scheduling problems with deteriorating jobs and learning effects including proportional setup times. Computers & Industrial Engineering, 58, 326–331.
Cheng, T.C.E. (1991). An EOQ model with learning effect on set-ups. Production and Inventory Management, 32, 83-84.
Cheng, T.C.E. (1994). An economic manufacturing quantity model with learning effect. International Journal of Production Economics, 33, 257-264.
Cheng, T.C.E., Kuo, W.H. & Yang, D.L. (2013). Scheduling with a position-weighted learning effect based on sum-of-logarithm-processing-times and job position. Information Sciences, 221, 490–500.
Cheng, T.C.E., Lai, P.J., Wu, C.C. & Lee, W.C. (2009). Single-machine scheduling with sum-of-logarithm-processing-times-based learning considerations. Information Sciences, 179, 3127–3135.
Cheng, T.C.E., Wu, W.H., Cheng, S.R. & Wu, C.C. (2011). Two-agent scheduling with position-based deteriorating jobs and learning effects. Applied Mathematics and Computation, 217, 8804–8824.
Chiu, H.N. & Chen, H.M. (2005). An optimal algorithm for solving the dynamic lot-sizing model with learning and forgetting in set-ups and production. International Journal of Production Economics, 95, 179-193.
Chiu, H.N. (1997). Discrete-time varying demand lot-size models with learning and forgetting effect. Production Planning Control, 8, 484-493.
Chiu, H.N., Chen, H.M. & Weng, L.C. (2003). Deterministic-time varying demand lot-size models with learning and forgetting in set-ups and production. Production Operation Management, 12, 120-127.
Dobson, G., Karmakar, U. S. & Rummel, J. (1987). Batching to minimize flow times on one machine. Management Science, 33, 784-799.
Gaweijnowics, S. (1996). A note on scheduling on a single processor with speed dependent on a number of executed jobs. Information Processing Letters, 57, 297-300.
Halim, A.H. & Ohta, H. (1994). Batch Scheduling Problems to minimize inventory cost in the shop with both receiving and delivery Just-In-Time. International Journal of Production Economics, 33, 185-194.
Halim, A.H., Miyazaki, S. & Ohta, H. (1994). Batch scheduling problems to minimize actual flow times of component through the shop under JIT environment. European Journal of Operational Research, 72, 529-544.
Jaber, M.Y. (2011). Learning Curves: Theory, model, and applications, Taylor & Francis Group, US.
Jaber, M.Y. & Bonney, M. (1996). Production break and the learning curve: The forgetting phenomenon. Applied Mathematical Modelling, 20, 162-169.
Jaber, M.Y. & Salamah, M.K. (1995). Optimal lot sizing under learning considerations: Shortages allowed and back ordered. Applied Mathematical Modeling, 19, 307-310.
Janiak, A., Lichtensteind, M. & Ruso?, A. (2011). Scheduling jobs with a linear model of simultaneous ageing and learning effects. Decision Making in Manufacturing and Services, 5, 37–48.
Ji. M. & Cheng, T.C.E. (2010). Batch scheduling of simple linear deteriorating jobs on a single machine to minimize makespan. European Journal of Operational Research, 202, 90-98.
Keachie, E.C. & Fontana, R.J. (1966). Effect of learning on optimal lot size. Management Science, 13, B102-B108.
Kuo, W.H. & Yang, D.L. (2006), Minimizing the total completion time in a single-machine scheduling problem with a time-dependent learning effect. European Journal of Operational Research, 174, 1184-1190.
Lai, P.J. & Lee, W.C. (2013). Single machine scheduling with learning and forgetting effect. Applied Mathematical Modelling, 37, 4509-4516.
Li, C.L. & Cheng, T.C.E. (1994). An economic production quantity model with learning and forgetting considerations. Production and Operations Management, 3, 118-132.
Morton, T.E. & Pentico, D.W. (1993). Heuristic scheduling systems. John Wiley & Sons, Inc.
Nembhard, D.A. & Uzumeri, M.V. (2000). Experiential learning and forgetting for manual and cognitive tasks. International Journal of Industrial Ergonomics, 25, 315–326.
Pinedo, M. (2002). Scheduling: Theory, algorithms, and systems. Prentice Hall, New Jersey.
Shen, H. & Evans. D. J. (1996). A new method for generating integer compositions in parallel. Parallel Algorithms Applications, 9, 101-109.
Steedman, I. (1970). Some improvement curve theory. International Journal Production Research, 8, 189-206.
Teyarachakul, S., Chand, S. & Ward, J. (2008). Batch sizing under learning and forgetting: Steady state characteristics for the constant demand case. Operations Research Letters, 36, 589-593.
Teyarachakul, S., Chand, S. & Ward, J. (2011). Effect of learning and forgetting on batch sizes. Production and Operations Management, 20, 116-128.
Wang, X. & Cheng, T.C.E., (2007). Single machine scheduling with deteriorating jobs and learning effects to minimize the makespan. European Journal of Operational Research, 178, 57 -70.
Wright, T.P. (1936). Factors affecting the cost of airplanes. Journal of Aeronautical Sciences, 3, 122-128.
Wu, C.H., Lai, P. J. & Lee, W. C. (2014). A note on a single machine scheduling with sum of processing time based on learning and forgetting effects. Applied Mathematical Modelling, 39, 415-424.
Yang, W.H. & Chand, S. (2008). Learning and forgetting effect on a group scheduling problem. European Journal of Operational Research, 187, 1033-1044.
Arzi, Y. & Shtub, A. (1997). Learning and forgetting in mental and mechanical tasks: A comparative study. IIE Transactions, 29 759-768.
Baker, K.R. & Trietsch, D. (2009). Principles of sequencing and scheduling. John and Wiley & Sons.
Biskup, D. (1999). Single machine scheduling with learning considerations. European Journal of Operational Research, 115, 173-178.
Carlson, J. G. & Rowe, A. J. (1976). How much does forgetting cost?, Industrial Engineering, 8 40-47
.
Chen, C.K., Lo, C.C. & Liao, Y.X. (2008). Optimal lot size with learning consideration on an imperfect production system with allowable shortages. International Journal of Production Economics, 113, 459-469.
Cheng, T.C.E, Lee, W.C. & Wu, C. C. (2010). Scheduling problems with deteriorating jobs and learning effects including proportional setup times. Computers & Industrial Engineering, 58, 326–331.
Cheng, T.C.E. (1991). An EOQ model with learning effect on set-ups. Production and Inventory Management, 32, 83-84.
Cheng, T.C.E. (1994). An economic manufacturing quantity model with learning effect. International Journal of Production Economics, 33, 257-264.
Cheng, T.C.E., Kuo, W.H. & Yang, D.L. (2013). Scheduling with a position-weighted learning effect based on sum-of-logarithm-processing-times and job position. Information Sciences, 221, 490–500.
Cheng, T.C.E., Lai, P.J., Wu, C.C. & Lee, W.C. (2009). Single-machine scheduling with sum-of-logarithm-processing-times-based learning considerations. Information Sciences, 179, 3127–3135.
Cheng, T.C.E., Wu, W.H., Cheng, S.R. & Wu, C.C. (2011). Two-agent scheduling with position-based deteriorating jobs and learning effects. Applied Mathematics and Computation, 217, 8804–8824.
Chiu, H.N. & Chen, H.M. (2005). An optimal algorithm for solving the dynamic lot-sizing model with learning and forgetting in set-ups and production. International Journal of Production Economics, 95, 179-193.
Chiu, H.N. (1997). Discrete-time varying demand lot-size models with learning and forgetting effect. Production Planning Control, 8, 484-493.
Chiu, H.N., Chen, H.M. & Weng, L.C. (2003). Deterministic-time varying demand lot-size models with learning and forgetting in set-ups and production. Production Operation Management, 12, 120-127.
Dobson, G., Karmakar, U. S. & Rummel, J. (1987). Batching to minimize flow times on one machine. Management Science, 33, 784-799.
Gaweijnowics, S. (1996). A note on scheduling on a single processor with speed dependent on a number of executed jobs. Information Processing Letters, 57, 297-300.
Halim, A.H. & Ohta, H. (1994). Batch Scheduling Problems to minimize inventory cost in the shop with both receiving and delivery Just-In-Time. International Journal of Production Economics, 33, 185-194.
Halim, A.H., Miyazaki, S. & Ohta, H. (1994). Batch scheduling problems to minimize actual flow times of component through the shop under JIT environment. European Journal of Operational Research, 72, 529-544.
Jaber, M.Y. (2011). Learning Curves: Theory, model, and applications, Taylor & Francis Group, US.
Jaber, M.Y. & Bonney, M. (1996). Production break and the learning curve: The forgetting phenomenon. Applied Mathematical Modelling, 20, 162-169.
Jaber, M.Y. & Salamah, M.K. (1995). Optimal lot sizing under learning considerations: Shortages allowed and back ordered. Applied Mathematical Modeling, 19, 307-310.
Janiak, A., Lichtensteind, M. & Ruso?, A. (2011). Scheduling jobs with a linear model of simultaneous ageing and learning effects. Decision Making in Manufacturing and Services, 5, 37–48.
Ji. M. & Cheng, T.C.E. (2010). Batch scheduling of simple linear deteriorating jobs on a single machine to minimize makespan. European Journal of Operational Research, 202, 90-98.
Keachie, E.C. & Fontana, R.J. (1966). Effect of learning on optimal lot size. Management Science, 13, B102-B108.
Kuo, W.H. & Yang, D.L. (2006), Minimizing the total completion time in a single-machine scheduling problem with a time-dependent learning effect. European Journal of Operational Research, 174, 1184-1190.
Lai, P.J. & Lee, W.C. (2013). Single machine scheduling with learning and forgetting effect. Applied Mathematical Modelling, 37, 4509-4516.
Li, C.L. & Cheng, T.C.E. (1994). An economic production quantity model with learning and forgetting considerations. Production and Operations Management, 3, 118-132.
Morton, T.E. & Pentico, D.W. (1993). Heuristic scheduling systems. John Wiley & Sons, Inc.
Nembhard, D.A. & Uzumeri, M.V. (2000). Experiential learning and forgetting for manual and cognitive tasks. International Journal of Industrial Ergonomics, 25, 315–326.
Pinedo, M. (2002). Scheduling: Theory, algorithms, and systems. Prentice Hall, New Jersey.
Shen, H. & Evans. D. J. (1996). A new method for generating integer compositions in parallel. Parallel Algorithms Applications, 9, 101-109.
Steedman, I. (1970). Some improvement curve theory. International Journal Production Research, 8, 189-206.
Teyarachakul, S., Chand, S. & Ward, J. (2008). Batch sizing under learning and forgetting: Steady state characteristics for the constant demand case. Operations Research Letters, 36, 589-593.
Teyarachakul, S., Chand, S. & Ward, J. (2011). Effect of learning and forgetting on batch sizes. Production and Operations Management, 20, 116-128.
Wang, X. & Cheng, T.C.E., (2007). Single machine scheduling with deteriorating jobs and learning effects to minimize the makespan. European Journal of Operational Research, 178, 57 -70.
Wright, T.P. (1936). Factors affecting the cost of airplanes. Journal of Aeronautical Sciences, 3, 122-128.
Wu, C.H., Lai, P. J. & Lee, W. C. (2014). A note on a single machine scheduling with sum of processing time based on learning and forgetting effects. Applied Mathematical Modelling, 39, 415-424.
Yang, W.H. & Chand, S. (2008). Learning and forgetting effect on a group scheduling problem. European Journal of Operational Research, 187, 1033-1044.